1881006120 has 288 divisors, whose sum is σ = 7358574600. Its totient is φ = 415005696.

The previous prime is 1881006109. The next prime is 1881006139. The reversal of 1881006120 is 216001881.

It can be written as a sum of positive squares in 4 ways, for example, as 1725405444 + 155600676 = 41538^2 + 12474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509722 + ... + 513398.

Almost surely, 2^1881006120 is an apocalyptic number.

1881006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1881006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679287300).

1881006120 is an abundant number, since it is smaller than the sum of its proper divisors (5477568480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1881006120 is a wasteful number, since it uses less digits than its factorization.

1881006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1881006120 is about 43370.5674392208. The cubic root of 1881006120 is about 1234.4212885232.

The spelling of 1881006120 in words is "one billion, eight hundred eighty-one million, six thousand, one hundred twenty".